26565464040 has 128 divisors (see below), whose sum is σ = 80805859200. Its totient is φ = 6985932800.

The previous prime is 26565464017. The next prime is 26565464053. The reversal of 26565464040 is 4046456562.

It is a junction number, because it is equal to n+sod(n) for n = 26565463983 and 26565464001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4279579 + ... + 4285781.

It is an arithmetic number, because the mean of its divisors is an integer number (631295775).

Almost surely, 2^26565464040 is an apocalyptic number.

26565464040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26565464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40402929600).

26565464040 is an abundant number, since it is smaller than the sum of its proper divisors (54240395160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26565464040 is a wasteful number, since it uses less digits than its factorization.

26565464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 26565464040 in words is "twenty-six billion, five hundred sixty-five million, four hundred sixty-four thousand, forty".